CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 12. Rigid Transformations


of rotation is 90◦clockwise or 270◦counterclockwise. The correct answer is 270◦counterclockwise because we
always measure angle of rotation in the coordinate plane in a counterclockwise direction. From the diagram, we
could have also said the two lines are 135◦apart, which is supplementary to 45◦.


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  1. What one transformation is equivalent to a reflection over two parallel lines?

  2. What one transformation is equivalent to a reflection over two intersecting lines?


Use the graph of the square below to answer questions 3-6.



  1. Perform a glide reflection over thex−axis and to the right 6 units. Write the new coordinates.

  2. What is the rule for this glide reflection?

  3. What glide reflection would move the image back to the preimage?

  4. Start over. Would the coordinates of a glide reflection where you move the square 6 units to the right and then
    reflect over thex−axis be any different than #3? Why or why not?


Use the graph of the triangle below to answer questions 7-9.

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